To practice identifying absolute value equations with no solution, solve the equation $|\frac{3}{4}x - 5| + 9 = 4$. Begin by isolating the absolute value expression by subtracting $9$ from both sides, which yields $|\frac{3}{4}x - 5| = -5$. Because the distance represented by an absolute value must be positive or zero, it can never equal a negative number. Thus, observing that the isolated absolute value is equal to $-5$ immediately indicates that there is no solution to the equation.